# Topics In Rings of Baire one functions and some function rings

@inproceedings{Zand2021TopicsIR, title={Topics In Rings of Baire one functions and some function rings}, author={M. R. A. Zand and Zahra Khosravi}, year={2021} }

Let X be a nonempty topological space and F (X) be the ring of all real-valued functions on X with pointwise addition and multiplication. Continuous members of F (X) is denoted by C(X) and C(X)F = {f ∈ F (X)| f is discontinuous on a finite set}. Let B1(X) be the ring of all real valued Baire one functions on X. Some relations between the subrings C(X), C(X)F , and B1(X) of F (X) are studied and investigated. We show that the socle of B1(X) is the intersection of all free ideals in B1(X). Let X… Expand

#### One Citation

Common properties of some function rings on a topological space

- Mathematics
- 2021

For a nonempty topological space X, the ring of all real-valued functions on X with pointwise addition and multiplication is denoted by F (X) and continuous members of F (X) is denoted by C(X). Let… Expand

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